English

On the Removable Singularities for Meromorphic Mappings

Complex Variables 2008-02-03 v1

Abstract

If E is a nonempty closed subset of the locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold M and all points of E are nonremovable for a meromorphic mapping of M \ E into a compact K\"ahler manifold, then E is a pure (n-1)-dimensional complex analytic subset of M.

Keywords

Cite

@article{arxiv.math/9201201,
  title  = {On the Removable Singularities for Meromorphic Mappings},
  author = {E. M. Chirka},
  journal= {arXiv preprint arXiv:math/9201201},
  year   = {2008}
}